Double Circulant Self-dual Codes on Sextic Cyclotomy

06/14/2020

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by   Tongjiang Yan, et al.

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This paper contributes to construct double circulant self-dual codes by sextic cyclotomy. Generator matrixes of a family of pure double circulant codes and a family of double circulant codes with boundary are formed from sextic cyclotomic classes. These codes are proved to be self-dual on certain conditions. Moreover, experiments show that some of them are optimal self-dual codes or best than ever codes over GF(2) and GF(4).